Question

Find a third proportional to the numbers 3 and 6.
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Answer 1

Answer:

Step-by-step explanation:

a:b = b:c,

here c is third proportional and b is mean proportional.

thus to find third proportional in the given case, we can proceed as follows.

3/6 = 6/c.

c = 6*6/3.

c = 12.

Answer 2

The third proportional to the numbers 3 and 6 is 12.

• Ratio and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of $\frac{a}{b}$, ratio a:b, and then a proportion. In this case, a and b can be any two integers. The ratio and proportion are important building blocks for understanding the numerous ideas in science and mathematics.
• Numerous challenges in daily life can be solved with proportion, including those in business when handling transactions or in the kitchen, among other situations. It creates a relationship between two or more quantities and aids in comparing them.

Here, according to the given information, we are given that,

We need to find a third proportional to the numbers 3 and 6.

Now, let x be the third proportional.

Then, we have,

$3:6 = 6:x$

Or, $\frac{3}{6} = \frac{6}{x}$

Or, $x = \frac{6}{3} .6$ = 12.

Hence, the third proportional to the numbers 3 and 6 is 12.

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